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17edo Solfege

Edit 0 5 …
Expanding the "movable-do" solfege system for 17edo: an aid for microtonal singing; a way of wrapping yr brain around a new sound system.

Ordinary solfege syllables work very well in 17:

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 Db
 C#
 D
 Eb
 D#
 E
 F
 Gb
 F#
 G
 Ab
 G#
 A
 Bb
 A#
 B
do
 ra
 di
 re
 me
 ri
 mi
 fa
 se
 fi
 sol
 le
 si
 la
 te
 li
 do

Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. "ra" & "di"). Spelling matters here.

This system could work just fine on its own, but what if I want to respell the pitches to put them into another pitch class? For example, what if I want to treat D# as a kind of third (a neutral third) instead of a kind of second (an augmented second)? For pitches, we have up-down arrows (thank you Sagittal) that can allow us to respell like this:

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 Db
 C#
 D
 Eb
 D#
 E
 F
 Gb
 F#
 G
 Ab
 G#
 A
 Bb
 A#
 B
C
 C-up
 D-down
 D
 D-up
 E-down
 E
 F
 F-up
 G-down
 G
 G-up
 A-down
 A
 A-up
 B-down
 B

So, for example, we can respell our augmented second, D#, as a neutral third, E-down, & get something more intuitive & useful for certain purposes.

But what if we want solfege syllables for these respellings?

ru, mu, lu & tu


I offer the suffix "-u" to indicate neutral 2nds, 3rds, 6ths, & 7ths.

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 Db
 D-down
 D
 Eb
 E-down
 E
 F
 Gb
 F#
 G
 Ab
 A-down
 A
 Bb
 B-down
 B
do
 ra
 ru
 re
 me
 mu
 mi
 fa
 se
 fi
 sol
 le
 lu
 la
 te
 tu
 ti

So if we encounter a "ru," we know to take it as a neutral second (not an augmented unison); if we encounter "lu," we know to take it as a neutral sixth (not an augmented fifth) & so on.

fu & su


What about the two tritones? Perhaps you want to respell G-flat as F-up. For this, I offer "fu"; likewise, if you want G-down in place of F-up, I offer "su".

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 Db
 D-down
 D
 Eb
 E-down
 E
 F
 F-up
 G-down
 G
 Ab
 A-down
 A
 Bb
 B-down
 B
do
 ra
 ru
 re
 me
 mu
 mi
 fa
 fu
 su
 sol
 le
 lu
 la
 te
 tu
 ti

other enharmonics


Some offers, to fill out the octave:

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 C-up
 D-down
 D
 D-up
 E-down
 E
 F
 F-up
 G-down
 G
 G-up
 A-down
 A
 A-up
 B-down
 B
do
 da
 du
 re
 ro
 mu
 mi
 fa
 fu
 su
 sol
 sa
 lu
 la
 lo
 tu
 do

side-by-side


For comparison, the full system:

0
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
C
 Db/C-up
 C#/D-down
 D
 Eb/D-up
 D#/E-down
 E
 F
 Gb/F-up
 F#/G-down
 G
 Ab/G-up
 G#/A-down
 A
 Bb/A-up
 A#/B-down
 B
do
 ra
 di
 re
 me
 ri
 mi
 fa
 se
 fi
 sol
 le
 si
 la
 te
 li
 do
do
 da
 du
 re
 ro
 mu
 mi
 fa
 fu
 su
 sol
 sa
 lu
 la
 lo
 tu
 do

See also 22edo Solfege